{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "6c5c0457",
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "580e0812",
   "metadata": {},
   "source": [
    "# 直线拟合"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "f6e37cbd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([ -5,   3,   8,   0,  -1,   2, -10,   5,   4,   4])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "tensor([-84, -71,  64, -31,  78,  -3,  54,  29,  54, -38])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x26db4d62640>]"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 构造多个函数\n",
    "\n",
    "def fun(x,w,b):\n",
    "    return w*x+b\n",
    "\n",
    "\n",
    "w = torch.randint(-10,10,size=(10,))\n",
    "b = torch.randint(-100,100,size=(10,))\n",
    "display(w,b)\n",
    "\n",
    "\n",
    "\n",
    "# 每个函数的值\n",
    "x = torch.linspace(-100,100,1000)\n",
    "\n",
    "sum_y = 0\n",
    "\n",
    "for ele1,ele2 in zip(w,b):\n",
    "    # print(ele1,ele2)\n",
    "    y = fun(x,ele1,ele2)\n",
    "    sum_y += y\n",
    "    plt.plot(x,y)\n",
    "    \n",
    "\n",
    "# 显示合并的结果\n",
    "# sum_y\n",
    "plt.plot(x,sum_y,linestyle=':', color='red')\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a0a7f4f9",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "503ebe54",
   "metadata": {},
   "source": [
    "# 加入曲线拟合  RELU"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "0db41271",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,\n",
       "        0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 1.7416e-01, 1.3754e+00,\n",
       "        2.5766e+00, 3.7778e+00, 4.9790e+00, 6.1802e+00, 7.3814e+00, 8.5826e+00,\n",
       "        9.7838e+00, 1.0985e+01, 1.2186e+01, 1.3387e+01, 1.4589e+01, 1.5790e+01,\n",
       "        1.6991e+01, 1.8192e+01, 1.9393e+01, 2.0595e+01, 2.1796e+01, 2.2997e+01,\n",
       "        2.4198e+01, 2.5399e+01, 2.6601e+01, 2.7802e+01, 2.9003e+01, 3.0204e+01,\n",
       "        3.1405e+01, 3.2607e+01, 3.3808e+01, 3.5009e+01, 3.6210e+01, 3.7411e+01,\n",
       "        3.8613e+01, 3.9814e+01, 4.1015e+01, 4.2216e+01, 4.3417e+01, 4.4619e+01,\n",
       "        4.5820e+01, 4.7021e+01, 4.8222e+01, 4.9423e+01, 5.0625e+01, 5.1826e+01,\n",
       "        5.3027e+01, 5.4228e+01, 5.5429e+01, 5.6631e+01, 5.7832e+01, 5.9033e+01,\n",
       "        6.0234e+01, 6.1435e+01, 6.2637e+01, 6.3838e+01, 6.5039e+01, 6.6240e+01,\n",
       "        6.7441e+01, 6.8643e+01, 6.9844e+01, 7.1045e+01, 7.2246e+01, 7.3447e+01,\n",
       "        7.4649e+01, 7.5850e+01, 7.7051e+01, 7.8252e+01, 7.9453e+01, 8.0655e+01,\n",
       "        8.1856e+01, 8.3057e+01, 8.4258e+01, 8.5459e+01, 8.6661e+01, 8.7862e+01,\n",
       "        8.9063e+01, 9.0264e+01, 9.1465e+01, 9.2667e+01, 9.3868e+01, 9.5069e+01,\n",
       "        9.6270e+01, 9.7471e+01, 9.8673e+01, 9.9874e+01, 1.0108e+02, 1.0228e+02,\n",
       "        1.0348e+02, 1.0468e+02, 1.0588e+02, 1.0708e+02, 1.0828e+02, 1.0948e+02,\n",
       "        1.1068e+02, 1.1189e+02, 1.1309e+02, 1.1429e+02, 1.1549e+02, 1.1669e+02,\n",
       "        1.1789e+02, 1.1909e+02, 1.2029e+02, 1.2150e+02, 1.2270e+02, 1.2390e+02,\n",
       "        1.2510e+02, 1.2630e+02, 1.2750e+02, 1.2870e+02, 1.2990e+02, 1.3111e+02,\n",
       "        1.3231e+02, 1.3351e+02, 1.3471e+02, 1.3591e+02, 1.3711e+02, 1.3831e+02,\n",
       "        1.3951e+02, 1.4071e+02, 1.4192e+02, 1.4312e+02, 1.4432e+02, 1.4552e+02,\n",
       "        1.4672e+02, 1.4792e+02, 1.4912e+02, 1.5032e+02, 1.5153e+02, 1.5273e+02,\n",
       "        1.5393e+02, 1.5513e+02, 1.5633e+02, 1.5753e+02, 1.5873e+02, 1.5993e+02,\n",
       "        1.6114e+02, 1.6234e+02, 1.6354e+02, 1.6474e+02, 1.6594e+02, 1.6714e+02,\n",
       "        1.6834e+02, 1.6954e+02, 1.7074e+02, 1.7195e+02, 1.7315e+02, 1.7435e+02,\n",
       "        1.7555e+02, 1.7675e+02, 1.7795e+02, 1.7915e+02, 1.8035e+02, 1.8156e+02,\n",
       "        1.8276e+02, 1.8396e+02, 1.8516e+02, 1.8636e+02, 1.8756e+02, 1.8876e+02,\n",
       "        1.8996e+02, 1.9117e+02, 1.9237e+02, 1.9357e+02, 1.9477e+02, 1.9597e+02,\n",
       "        1.9717e+02, 1.9837e+02, 1.9957e+02, 2.0077e+02, 2.0198e+02, 2.0318e+02,\n",
       "        2.0438e+02, 2.0558e+02, 2.0678e+02, 2.0798e+02, 2.0918e+02, 2.1038e+02,\n",
       "        2.1159e+02, 2.1279e+02, 2.1399e+02, 2.1519e+02, 2.1639e+02, 2.1759e+02,\n",
       "        2.1879e+02, 2.1999e+02, 2.2120e+02, 2.2240e+02, 2.2360e+02, 2.2480e+02,\n",
       "        2.2600e+02, 2.2720e+02, 2.2840e+02, 2.2960e+02, 2.3080e+02, 2.3201e+02,\n",
       "        2.3321e+02, 2.3441e+02, 2.3561e+02, 2.3681e+02, 2.3801e+02, 2.3921e+02,\n",
       "        2.4041e+02, 2.4162e+02, 2.4282e+02, 2.4402e+02, 2.4522e+02, 2.4642e+02,\n",
       "        2.4762e+02, 2.4882e+02, 2.5002e+02, 2.5123e+02, 2.5243e+02, 2.5363e+02,\n",
       "        2.5483e+02, 2.5603e+02, 2.5723e+02, 2.5843e+02, 2.5963e+02, 2.6083e+02,\n",
       "        2.6204e+02, 2.6324e+02, 2.6444e+02, 2.6564e+02, 2.6684e+02, 2.6804e+02,\n",
       "        2.6924e+02, 2.7044e+02, 2.7165e+02, 2.7285e+02, 2.7405e+02, 2.7525e+02,\n",
       "        2.7645e+02, 2.7765e+02, 2.7885e+02, 2.8005e+02, 2.8126e+02, 2.8246e+02,\n",
       "        2.8366e+02, 2.8486e+02, 2.8606e+02, 2.8726e+02, 2.8846e+02, 2.8966e+02,\n",
       "        2.9086e+02, 2.9207e+02, 2.9327e+02, 2.9447e+02, 2.9567e+02, 2.9687e+02,\n",
       "        2.9807e+02, 2.9927e+02, 3.0047e+02, 3.0168e+02, 3.0288e+02, 3.0408e+02,\n",
       "        3.0528e+02, 3.0648e+02, 3.0768e+02, 3.0888e+02, 3.1008e+02, 3.1129e+02,\n",
       "        3.1249e+02, 3.1369e+02, 3.1489e+02, 3.1609e+02, 3.1729e+02, 3.1849e+02,\n",
       "        3.1969e+02, 3.2089e+02, 3.2210e+02, 3.2330e+02, 3.2450e+02, 3.2570e+02,\n",
       "        3.2690e+02, 3.2810e+02, 3.2930e+02, 3.3050e+02, 3.3171e+02, 3.3291e+02,\n",
       "        3.3411e+02, 3.3531e+02, 3.3651e+02, 3.3771e+02, 3.3891e+02, 3.4011e+02,\n",
       "        3.4132e+02, 3.4252e+02, 3.4372e+02, 3.4492e+02, 3.4612e+02, 3.4732e+02,\n",
       "        3.4852e+02, 3.4972e+02, 3.5092e+02, 3.5213e+02, 3.5333e+02, 3.5453e+02,\n",
       "        3.5573e+02, 3.5693e+02, 3.5813e+02, 3.5933e+02, 3.6053e+02, 3.6174e+02,\n",
       "        3.6294e+02, 3.6414e+02, 3.6534e+02, 3.6654e+02, 3.6774e+02, 3.6894e+02,\n",
       "        3.7014e+02, 3.7135e+02, 3.7255e+02, 3.7375e+02, 3.7495e+02, 3.7615e+02,\n",
       "        3.7735e+02, 3.7855e+02, 3.7975e+02, 3.8095e+02, 3.8216e+02, 3.8336e+02,\n",
       "        3.8456e+02, 3.8576e+02, 3.8696e+02, 3.8816e+02, 3.8936e+02, 3.9056e+02,\n",
       "        3.9177e+02, 3.9297e+02, 3.9417e+02, 3.9537e+02, 3.9657e+02, 3.9777e+02,\n",
       "        3.9897e+02, 4.0017e+02, 4.0138e+02, 4.0258e+02, 4.0378e+02, 4.0498e+02,\n",
       "        4.0618e+02, 4.0738e+02, 4.0858e+02, 4.0978e+02, 4.1099e+02, 4.1219e+02,\n",
       "        4.1339e+02, 4.1459e+02, 4.1579e+02, 4.1699e+02, 4.1819e+02, 4.1939e+02,\n",
       "        4.2059e+02, 4.2180e+02, 4.2300e+02, 4.2420e+02, 4.2540e+02, 4.2660e+02,\n",
       "        4.2780e+02, 4.2900e+02, 4.3020e+02, 4.3141e+02, 4.3261e+02, 4.3381e+02,\n",
       "        4.3501e+02, 4.3621e+02, 4.3741e+02, 4.3861e+02, 4.3981e+02, 4.4102e+02,\n",
       "        4.4222e+02, 4.4342e+02, 4.4462e+02, 4.4582e+02, 4.4702e+02, 4.4822e+02,\n",
       "        4.4942e+02, 4.5062e+02, 4.5183e+02, 4.5303e+02, 4.5423e+02, 4.5543e+02,\n",
       "        4.5663e+02, 4.5783e+02, 4.5903e+02, 4.6023e+02, 4.6144e+02, 4.6264e+02,\n",
       "        4.6384e+02, 4.6504e+02, 4.6624e+02, 4.6744e+02, 4.6864e+02, 4.6984e+02,\n",
       "        4.7105e+02, 4.7225e+02, 4.7345e+02, 4.7465e+02, 4.7585e+02, 4.7705e+02,\n",
       "        4.7825e+02, 4.7945e+02, 4.8065e+02, 4.8186e+02, 4.8306e+02, 4.8426e+02,\n",
       "        4.8546e+02, 4.8666e+02, 4.8786e+02, 4.8906e+02, 4.9026e+02, 4.9147e+02,\n",
       "        4.9267e+02, 4.9387e+02, 4.9507e+02, 4.9627e+02, 4.9747e+02, 4.9867e+02,\n",
       "        4.9987e+02, 5.0108e+02, 5.0228e+02, 5.0348e+02, 5.0468e+02, 5.0588e+02,\n",
       "        5.0708e+02, 5.0828e+02, 5.0948e+02, 5.1068e+02, 5.1189e+02, 5.1309e+02,\n",
       "        5.1429e+02, 5.1549e+02, 5.1669e+02, 5.1789e+02, 5.1909e+02, 5.2029e+02,\n",
       "        5.2150e+02, 5.2270e+02, 5.2390e+02, 5.2510e+02, 5.2630e+02, 5.2750e+02,\n",
       "        5.2870e+02, 5.2990e+02, 5.3111e+02, 5.3231e+02, 5.3351e+02, 5.3471e+02,\n",
       "        5.3591e+02, 5.3711e+02, 5.3831e+02, 5.3951e+02, 5.4071e+02, 5.4192e+02,\n",
       "        5.4312e+02, 5.4432e+02, 5.4552e+02, 5.4672e+02, 5.4792e+02, 5.4912e+02,\n",
       "        5.5032e+02, 5.5153e+02, 5.5273e+02, 5.5393e+02, 5.5513e+02, 5.5633e+02,\n",
       "        5.5753e+02, 5.5873e+02, 5.5993e+02, 5.6114e+02, 5.6234e+02, 5.6354e+02,\n",
       "        5.6474e+02, 5.6594e+02, 5.6714e+02, 5.6834e+02, 5.6954e+02, 5.7074e+02,\n",
       "        5.7195e+02, 5.7315e+02, 5.7435e+02, 5.7555e+02, 5.7675e+02, 5.7795e+02,\n",
       "        5.7915e+02, 5.8035e+02, 5.8156e+02, 5.8276e+02, 5.8396e+02, 5.8516e+02,\n",
       "        5.8636e+02, 5.8756e+02, 5.8876e+02, 5.8996e+02, 5.9117e+02, 5.9237e+02,\n",
       "        5.9357e+02, 5.9477e+02, 5.9597e+02, 5.9717e+02, 5.9837e+02, 5.9957e+02,\n",
       "        6.0077e+02, 6.0198e+02, 6.0318e+02, 6.0438e+02, 6.0558e+02, 6.0678e+02,\n",
       "        6.0798e+02, 6.0918e+02, 6.1038e+02, 6.1159e+02, 6.1279e+02, 6.1399e+02,\n",
       "        6.1519e+02, 6.1639e+02, 6.1759e+02, 6.1879e+02, 6.1999e+02, 6.2120e+02,\n",
       "        6.2240e+02, 6.2360e+02, 6.2480e+02, 6.2600e+02])"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 构造多个函数\n",
    "\n",
    "def fun(x,w,b):\n",
    "    return w*x+b\n",
    "\n",
    "\n",
    "w = torch.randint(-10,10,size=(10,))\n",
    "b = torch.randint(-100,100,size=(10,))\n",
    "# display(w,b)\n",
    "\n",
    "\n",
    "\n",
    "# 每个函数的值\n",
    "x = torch.linspace(-100,100,1000)\n",
    "\n",
    "sum_y = 0\n",
    "\n",
    "for ele1,ele2 in zip(w,b):\n",
    "    # print(ele1,ele2)\n",
    "    y = fun(x,ele1,ele2)\n",
    "    y = torch.nn.ReLU()(y)\n",
    "    sum_y += y\n",
    "    plt.plot(x,y)\n",
    "    \n",
    "\n",
    "# 显示合并的结果\n",
    "# sum_y\n",
    "plt.plot(x,sum_y,linestyle=':', color='red')\n",
    "y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3100cd32",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "297bc461",
   "metadata": {},
   "source": [
    "# sigmoid   可以拟合任何一个函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "b5d45fcf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x26db61c8910>]"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 构造多个函数\n",
    "\n",
    "def fun(x,w,b):\n",
    "    return w*x+b\n",
    "\n",
    "\n",
    "w = torch.randint(-10,10,size=(10,))\n",
    "b = torch.randint(-100,100,size=(10,))\n",
    "# display(w,b)\n",
    "\n",
    "\n",
    "\n",
    "# 每个函数的值\n",
    "x = torch.linspace(-100,100,1000)\n",
    "\n",
    "sum_y = 0\n",
    "\n",
    "for ele1,ele2 in zip(w,b):\n",
    "    # print(ele1,ele2)\n",
    "    y = fun(x,ele1,ele2)\n",
    "    y = torch.nn.Sigmoid()(y)\n",
    "    sum_y += y\n",
    "    plt.plot(x,y)\n",
    "    \n",
    "\n",
    "# 显示合并的结果\n",
    "# sum_y\n",
    "plt.plot(x,sum_y,linestyle=':', color='red')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "6e0f745a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x26db737beb0>]"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 构造多个函数\n",
    "\n",
    "def fun(x,w,b):\n",
    "    return w*x+b\n",
    "\n",
    "\n",
    "w = torch.randint(-10,10,size=(100,))\n",
    "b = torch.randint(-100,100,size=(100,))\n",
    "# display(w,b)\n",
    "\n",
    "\n",
    "\n",
    "# 每个函数的值\n",
    "x = torch.linspace(-100,100,1000)\n",
    "\n",
    "sum_y = 0\n",
    "\n",
    "for ele1,ele2 in zip(w,b):\n",
    "    # print(ele1,ele2)\n",
    "    y = fun(x,ele1,ele2)\n",
    "    y = torch.nn.Sigmoid()(y)\n",
    "    sum_y += y\n",
    "    plt.plot(x,y)\n",
    "    \n",
    "\n",
    "# 显示合并的结果\n",
    "# sum_y\n",
    "plt.plot(x,sum_y,linestyle=':', color='red')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "torch_py38",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.7rc1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
